407466441 has 6 divisors (see below), whose sum is σ = 588562650. Its totient is φ = 271644288.

The previous prime is 407466431. The next prime is 407466467. The reversal of 407466441 is 144664704.

407466441 is a `hidden beast` number, since 4 + 0 + 7 + 4 + 6 + 644 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 305375625 + 102090816 = 17475^2 + 10104^2 .

It is not a de Polignac number, because 407466441 - 2⁶ = 407466377 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 407466396 and 407466405.

It is not an unprimeable number, because it can be changed into a prime (407466431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22637016 + ... + 22637033.

It is an arithmetic number, because the mean of its divisors is an integer number (98093775).

Almost surely, 2^407466441 is an apocalyptic number.

It is an amenable number.

407466441 is a deficient number, since it is larger than the sum of its proper divisors (181096209).

407466441 is a wasteful number, since it uses less digits than its factorization.

407466441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45274055 (or 45274052 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 407466441 is about 20185.7980025562. The cubic root of 407466441 is about 741.3625013638.

The spelling of 407466441 in words is "four hundred seven million, four hundred sixty-six thousand, four hundred forty-one".